Question

Find all horizontal and vertical asymptotes.$f(x)=\frac{x^2+9}{x-3}$

Solution

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The objective of this task is to determine the vertical and horizontal asymptote that will describe the behavior of the graph of the given function.

To find the vertical asymptote of the given function, solve for the zeros of the denominator and then plug the obtained value\s of $x$ in the numerator. The numerator must not equal zero.

To determine the horizontal asymptote of the given function, evaluate its limit at infinity.